Diameter Bounded Equal Measure Partitions of Ahlfors Regular Metric Measure Spaces
| dc.contributor.author | Gigante, Giacomo | en |
| dc.contributor.author | Leopardi, Paul | en |
| dc.date.accessioned | 2026-01-01T15:41:48Z | |
| dc.date.available | 2026-01-01T15:41:48Z | |
| dc.date.issued | 2017-03-01 | en |
| dc.description.abstract | The algorithm devised by Feige and Schechtman for partitioning higher dimensional spheres into regions of equal measure and small diameter is combined with David’s and Christ’s constructions of dyadic cubes to yield a partition algorithm suitable to any connected Ahlfors regular metric measure space of finite measure. | en |
| dc.description.sponsorship | The authors wish to thank Alexander Reznikov for suggesting to study the extension now contained in Theorem . Thanks to the Università degli studi di Bergamo for hosting the second author for a one month visit, funded by the project “Progetto ITALY®- Azione 3: Grants for Visiting Professor and Scholar”. Part of the work was conducted while the second author was attending the Program on “Minimal Energy Point Sets, Lattices, and Designs” at the Erwin Schrödinger International Institute for Mathematical Physics, 2014, as a Visiting Fellow of the Australian National University. The following Pozible supporters made this attendance possible: S.V.A., A.D., C.F., O.F., K.M., J.P., A.H.R., R.R., E.S., M.T.; Yvonne Barrett, Angela M. Fearon, Sally Greenaway, Dennis Pritchard, Susan Shaw, Bronny Wright; Naomi Cole; the Russell family, Jonno Zilber; Jennifer Lanspeary, Vikram. | en |
| dc.description.status | Peer-reviewed | en |
| dc.format.extent | 12 | en |
| dc.identifier.issn | 0179-5376 | en |
| dc.identifier.scopus | 84992695912 | en |
| dc.identifier.uri | https://hdl.handle.net/1885/733801313 | |
| dc.language.iso | en | en |
| dc.rights | Publisher Copyright: © 2016, Springer Science+Business Media New York. | en |
| dc.source | Discrete and Computational Geometry | en |
| dc.subject | Ahlfors regular | en |
| dc.subject | Diameter | en |
| dc.subject | Measure | en |
| dc.subject | Metric measure space | en |
| dc.subject | Partition | en |
| dc.title | Diameter Bounded Equal Measure Partitions of Ahlfors Regular Metric Measure Spaces | en |
| dc.type | Journal article | en |
| dspace.entity.type | Publication | en |
| local.bibliographicCitation.lastpage | 430 | en |
| local.bibliographicCitation.startpage | 419 | en |
| local.contributor.affiliation | Gigante, Giacomo; University of Bergamo | en |
| local.contributor.affiliation | Leopardi, Paul; University of Newcastle | en |
| local.identifier.citationvolume | 57 | en |
| local.identifier.doi | 10.1007/s00454-016-9834-y | en |
| local.identifier.pure | 17480080-f600-4819-9d47-3a1bbc9cc877 | en |
| local.identifier.url | https://www.scopus.com/pages/publications/84992695912 | en |
| local.type.status | Published | en |